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Finding the Fourth Proportional to 7,811.68, 10,785.15 and 6,970.94

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Solution

The fourth proportional to 7,811.68, 10,785.15 and 6,970.94 is: 9,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.68 : 10,785.15 = 6,970.94 : x
  2. Step 2: Convert to fraction form
    7,811.68/10,785.15 = 6,970.94/x
  3. Step 3: Cross multiply
    7,811.68x = 10,785.15 × 6,970.94
  4. Step 4: Simplify right side
    7,811.68x = 75,182,553.47
  5. Step 5: Solve for x
    x = 75,182,553.47/7,811.68
  6. Step 6: Final answer
    x = 9,624.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.